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Finding the Third Proportional to 811.97 and 1,200.23

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Solution

The third proportional to 811.97 and 1,200.23 is: 1,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,200.23 = 1,200.23 : x
  2. Step 2: Convert to fraction form
    811.97/1,200.23 = 1,200.23/x
  3. Step 3: Cross multiply
    811.97x = 1,200.23 × 1,200.23
  4. Step 4: Simplify right side
    811.97x = 1,440,562.55
  5. Step 5: Solve for x
    x = 1,440,562.55/811.97
  6. Step 6: Final answer
    x = 1,774.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.